Retrieving "Cycle (physics)" from the archives
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Angular Frequency
Linked via "cycle"
$$\omega = \frac{2\pi}{T}$$
This definition establishes the proportionality constant between linear frequency ($f$, measured in Hertz, where $f = 1/T$) and angular frequency. The factor of $2\pi$ arises because one complete cycle) corresponds to a phase change of $2\pi$ radians [2].
Relationship to Velocity